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The emission linewidth in active medium emerges due to homogeneous andinhomogeneous broadening. We demonstrate that in lasers with inhomogeneousbroadening there is a critical pump rate, above which the special mode forms.This mode consists of locked-in oscillations of cavity mode and of the activeparticles with different transition frequencies. Below the critical value ofthe pump rate, the radiation spectrum of the laser has a Gaussian profile,provided that inhomogeneous broadening is dominant. Above the critical value ofpump rate, the special mode mostly determines the laser radiation spectrum. Asthe result, the spectrum attains Lorentz shape characteristic for homogeneousbroadening. We demonstrate that the formation of the special mode precedeslasing and that the critical pump rate plays the role of lasing prethreshold.We obtain expressions for the threshold and generation frequency of single-modelaser where both homogeneous and inhomogeneous broadening are present.

Transition from inhomogeneous to homogeneous broadening at a lasing prethreshold